# Square metal sheet

Four squares of 300 mm side were cut out from a square sheet metal plate with a side of 0,7 m. Express the fraction and the percentage of waste from the square metal sheet.

Result

f =  0.265
p =  26.5 %

#### Solution:

$a = 0.7 \ m \ \\ b = 300 \ mm = 300 / 1000 \ m = 0.3 \ m \ \\ \ \\ S_{ 1 } = a^2 = 0.7^2 = \dfrac{ 49 }{ 100 } = 0.49 \ m^2 \ \\ S_{ 2 } = 4 \cdot \ b^2 = 4 \cdot \ 0.3^2 = \dfrac{ 9 }{ 25 } = 0.36 \ \\ \ \\ o = S_{ 1 }-S_{ 2 } = 0.49-0.36 = \dfrac{ 13 }{ 100 } = 0.13 \ m^2 \ \\ f = \dfrac{ o }{ S_{ 1 } } = \dfrac{ 0.13 }{ 0.49 } = \dfrac{ 13 }{ 49 } \doteq 0.2653 = 0.265$
$p = 100 \cdot \ f = 100 \cdot \ 0.2653 = \dfrac{ 53 }{ 2 } = 26.5 = 26.5 \%$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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